The ring of physical states in the M(2, 3) minimal Liouville gravity

The ring of physical states in the M(2, 3) minimal Liouville gravity

We consider the M (2, 3) minimal Liouville gravity, whose state space in the gravity sector is realized as irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes based on using an explicit form of singular vectors in irreducible modules of the Vi...

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Veröffentlicht in:Theoretical and mathematical physics 2010-07, Vol.164 (1), p.929-946
Hauptverfasser: Alekseev, O. V., Bershtein, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We consider the M (2, 3) minimal Liouville gravity, whose state space in the gravity sector is realized as irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes based on using an explicit form of singular vectors in irreducible modules of the Virasoro algebra. We find a certain algebra acting on the BRST cohomology space and use this algebra to find the operator algebra of physical states.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-010-0074-7